Factors of 24

Factors of 24 are those numbers that, when multiplied together, give the result of 24. We can also say that a factor is a number that divides a number ultimately, leaving zero as a remainder. We will use the multiplication method to find the factors of 24.

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Factors of 24 Details

Factors of 24: 1, 2, 3, 4, 6, 8, 12, and 24
Factors of -24: -1, -2, -3, -4, -6, -8, -12, and -24
Prime Factors of 24: 2, 3
Prime Factorization of 24: 2 × 2 × 2 × 3 or 2³ × 3
Factors of 24 in Pairs: (1, 24), (2, 12), (3, 8) and (4, 6)
Negative Pairs Factors of 24: (-1, -24), (-2, -12), (-3, -8) and (-4, -6)

What are the factors of 24?

The method of calculating the factors of 24 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 24 are the factors of 24.
By dividing a number by 1, 2, 3, 4… we can discover all its factors.

(i) 24 ÷ 1 = 24

This division gives the remainder 0 and so is divisible by 24. So please put them 1 and 24 in your factor list.

1, …….. 24

(ii) 24 ÷ 2 = 12

This division gives the remainder 0 and so is divisible by 12. So please put them 2 and 12 in your factor list.

1, 2 …….. 12, 24

(iii) 24 ÷ 3 = 8

This division gives the remainder 0 and so is divisible by 8. So please put them 3 and 8 in your factor list.

1, 2, 3 …….. 8, 12, 24

(iv) 24 ÷ 4 = 6

This division gives the remainder 0 and so is divisible by 6. So please put them 4 and 6 in your factor list.

(iv) 24 ÷ 5 = 4.8

This division gives the remainder 4.8, not being thoroughly divided. So we will not write 5 and 4.8 on the list.

(vi) Since we don’t have any more numbers to calculate, we are putting the numbers so far.

So 1, 2, 3, 4, 6, 8, 12, and 24 are factors of 24.

Factors of -24

To get the factors of -24 by the multiplication method, we will first write the number -24 multiplicatively in all possible ways. We can write -24 as follows and we have:

24 = -1 × -24 Therefor, -1, -24 are factors of -24
24 = -2 × -12 Therefor, -2, -12 are factors of -24
24 = -3 × -8 Therefor, -3, -8 are factors of -24
24 = -4 × -6 Therefor, -4, -6 are factors of -24

As there are no other ways we can express -24 multiplicative, we will stop now, and we have obtained all the factors of -24.

So, the factors of -24 are -1, -2, -3, -4, -6, -8, -12, and -24.

All factors of 24

Here is a list of all the positive and negative factors of 24 in numerical order.

1, 2, 3, 4, 6, 8, 12, 24, -1, -2, -3, -4, -6, -8, -12, and -24

Therefore, 1, 2, 3, 4, 6, 8, 12, 24, -1, -2, -3, -4, -6, -8, -12, and -24 are All factors of 24.

Factor pairs of 24

1 x 24 = 24
2 x 12 = 24
3 x 8 = 24
4 x 6 = 24

So, (1, 24), (2, 12), (3, 8) and (4, 6) are factor pairs of 24
Factor pairs of -24

-1 x -24 = 24
-2 x -12 = 24
-3 x -8 = 24
-4 x -6 = 24

So, (-1, -24), (-2, -12), (-3, -8) and (-4, -6) are negative pair factors of 24

Prime Factorization of 24

24 ÷ 2 = 12
12 ÷ 2 = 6
6 ÷ 2 = 3
3 ÷ 3 = 1

Therefore, 2 × 2 x 2 × 3 or 2³ × 3 are Prime factorization of 24.

Factor tree of 24

         24
        /   \
       2    9
           /   \
          3    3

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